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Abstract <p> The Riccati equation method and other methods are used to establish global solvability, stability, and oscillation criteria for a class of two–dimensional nonlinear systems of ordinary differential equations. The class under study is a generalization of wide classes of second-order nonlinear ordinary differential equations, studied by many authors. The applicability of some of these criteria is illustrated by examples. </p>

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Global solvability, stability and oscillation criteria for systems of two first-order pseudo-linear ordinary differential equations

  • 期刊论文

  • 发表日期：

    2026年2月25日

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  • G. A. Grigorian

摘要

Abstract

The Riccati equation method and other methods are used to establish global solvability, stability, and oscillation criteria for a class of two–dimensional nonlinear systems of ordinary differential equations. The class under study is a generalization of wide classes of second-order nonlinear ordinary differential equations, studied by many authors. The applicability of some of these criteria is illustrated by examples.